Answer :
Final answer:
To calculate the average force on the ball upon impact, we apply the principle of impulse and momentum. The average force is obtained by dividing the change of momentum (mass multiplied by change in velocity) by the contact time. According to these calculations, the average force is 69.12 N.
Explanation:
To calculate the average force exerted on the ball upon impact with the ground, we can use the principle of impulse and momentum. Momentum is the product of mass and velocity, and the impulse experienced by an object is equivalent to the change in its momentum and is also a product of force and time.
During the rebound, the ball's velocity changes from 0 to 18.6 ms⁻¹ upwards, which gives us a total change in velocity of 18.6 ms⁻¹. We need to multiply this by the mass of the ball (46.5g, or 0.0465 kg when converted to kilograms), to get the change in momentum, and then divide this by the contact time (12.5 ms, or 0.0125 s when converted to seconds).
Therefore, the average force acting on the ball when it makes contact with the ground is (0.0465 kg * 18.6 ms⁻¹)/0.0125 s = 69.12 N.
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